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Finding the Third Proportional to 153,472.50 and 328,266

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Solution

The third proportional to 153,472.50 and 328,266 is: 702,136.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,472.50 : 328,266 = 328,266 : x
  2. Step 2: Convert to fraction form
    153,472.50/328,266 = 328,266/x
  3. Step 3: Cross multiply
    153,472.50x = 328,266 × 328,266
  4. Step 4: Simplify right side
    153,472.50x = 107,758,566,756
  5. Step 5: Solve for x
    x = 107,758,566,756/153,472.50
  6. Step 6: Final answer
    x = 702,136.00

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.